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Finding the Third Proportional to 127.13 and 311.81

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Solution

The third proportional to 127.13 and 311.81 is: 764.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.13 : 311.81 = 311.81 : x
  2. Step 2: Convert to fraction form
    127.13/311.81 = 311.81/x
  3. Step 3: Cross multiply
    127.13x = 311.81 × 311.81
  4. Step 4: Simplify right side
    127.13x = 97,227.04
  5. Step 5: Solve for x
    x = 97,227.04/127.13
  6. Step 6: Final answer
    x = 764.81

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.